一种基于波束域最大非冗余矩阵的四阶高分辨DOA估计算法

A Better High Resolution Fourth-Order DOA Algorithm Based on Beamspace Maximal Set of Nonredundant Cumulant

在非白噪声背景下,基于二阶统计量的高分辨方法性能较差。基于四阶累积量的高分辨方法能较好地抑制空间高斯噪声,但其运算量较大。文献[9]提出了一种基于四阶累积量的波束域MUSIC方法,降低了运算量,但其四阶累积量矩阵仍存在较多的冗余元素。为了进一步降低运算量,提出了一种波束域最大非冗余四阶累积量矩阵。仿真分析和实验结果表明,与波束域四阶累积量MUSIC方法相比,论文所提方法在保证估计性能的同时减小了运算量。

Aim. Refs. 4 through 7 are, in our opinion, somewhat deficient in either direction-of-arrival（DOA） estimation performance or computation load in the spatially correlated Gaussian noise environment. Ref. 9 solves the above problem to a certain extent, but the computation load is still not satisfactory. We propose a method that, we believe, is better. Section 2 of the full paper briefs the beamspace fourth-order cumulant （BFOC） method in Ref. 9 that uses beamspace data to build a full set of cumulant matrix. Section 3 cumulant method using beamspace maximal set of nonredundant cumulant （ explains in some detail our fourth-order BMSNC）. The core our better method deals with the BMSNC matrix of the beams＇ output signals and therefore leads of section 4 is that to less computation cost. Section 5 presents the simulation results, which are given in Figs. 1 through 4, and compares＇the resolution and estimation precision of our method with those of the BFOC method in Ref. 9. The comparison shows preliminarily that our method has just as good DOA estimation performance as the BFOC method but quite importantly at less computation cost.